Hexagonal rules

[confocaloid]

c/2o, c/2o, c/5o, c/8d, 2c/24o, 18c/36o puffer, p3, p9, p10, p12, p36

Code: Select all

x = 66, y = 24, rule = R2,C0,S4,6,17,19,25-29,34,38-41,44-45,49,54-55,61,74,76,78,82-86,88,90,93,95,97,104,111-112,117,123-125,127,129,131,136,138-139,141,146-149,151-157,159,161-164,166-167,169-173,175-178,180,184,187-188,190-191,193-196,198-200,203-208,211-213,215-217,219,221,226,228,231,233-237,240-241,245,248-249,252,256-258,260,263-268,270,272,275-276,281,283,285,288,290,292-294,297-298,300-301,303,306-309,311-312,314,317,319-320,322-324,326,329,333,335,338,340,B13,20,24-26,32,35,40,44,47-48,54-55,69,81,87,90,95-96,98-109,112-114,116,119-122,126-127,130,132-134,136-139,145-146,152-153,158,167,173-175,180,184,186,189,191,193,202,216,218,220,222-223,227-228,233,236,239-244,246,248-250,255,258-260,262,265,270,277-278,281,284,286-289,293,297,301-302,305,307,309,311,315-316,319,324,326-328,335,340-341,NW01070100000731310700013100310100073131070000010701H
2b2o10bo7bo6b2o32bo$b2o10b2o7bo6bobo29bo$2b2o10b2o6bo6b2o6bo2bo23bo$
23bo16b2o19bo$5bo11bo6bo13bo2bo23bo$63bobo$61bo3bo$61bo3bo$61bobo2$63b
o$63b3o$64bo5$31bo$2o8bo10b2o7b4o$obo7b2o8bo9bobobo9b2o$b2o7bobo9bo7bo
b2obo9b4o$10b4o6b2o9b5o12b2o$31b2o2b2o$33b3o!

I think the following conditions are optional for the above objects:

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optional birth: 5, 12-13, 19-20, 24-26, 29-41, 43-48, 54-55, 62, 69, 74-77, 80-84, 86-91, 93-97, 104, 110-111, 117-118, 122-125, 128-132, 134-139, 141-146, 151-153, 160, 166-167, 171, 173-174, 177, 179-195, 201-202, 207-209, 214-216, 218, 220, 222-224, 226, 228-230, 232-238, 240-244, 248, 250-251, 255-260, 263-272, 274-275, 277-293, 295-299, 301-314, 316-342
optional survival: 4, 6, 11-13, 18, 20, 24-27, 31, 33-48, 54-55, 61-62, 69, 74-76, 80-90, 92-97, 102, 104, 110-111, 116-118, 122-125, 127, 129, 131-132, 136-146, 150-153, 158-160, 166-167, 172-174, 178-195, 197, 199, 201-202, 206, 209, 214-218, 220-225, 227, 229-245, 247-252, 254-261, 263-274, 276-320, 322-335, 337-342

Crosspost from another thread

found an amazing hexagonal rule using a method studied by me but apparently first discovered by someone else (unsure who it was) for allowing some nontotalistic rules in higher ranges without as complicated of rulestrings. the neighborhood and type of rule used is 1.5 hex and ring totalistic respectively.
the rule that's so of note is this one. (example soup)

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rle

it's comparable to CGOL, though with more spaceships and less diverse still lifes. the name for the rule is currently Amazo (please give suggestions for other names), and the definition for the rule is "a cell is born if out has 1 cell and inner has 2, or if outer has 3 cells and inner has 1, 3, or 4 cells. a cell survives if inner has 2 or 3 cells" with inner referring to the six closest cells, and outer referring to the next six after them.

known (natural) spaceships:

Code: Select all

x = 7, y = 53, rule = R2,C2,S20-36,B13,21,33,43,NW0001000000010a0a0100000a000a0000010a0a010000000100H
o$2o2$bo19$bo$3o$2o$b2o19$2bo$2b2o$3bobo$2bo2b2o$5bo$o4b2o$bo$b2o$2bo16$
b2o$b2o$o$obo$2b2o!

listed in order of frequency.
names and speeds:
1) glider, c/4d
2) odder, 3c/16o
3) wider, 4c/10o
4) queener, (3,8)c/23 (how the heck is there a natural oblique this is awesome)

there's also a common weakly sparky p22 oscillator, the bumbler

Code: Select all

x = 4, y = 4, rule = R2,C2,S20-36,B13,21,33,43,NW0001000000010a0a0100000a000a0000010a0a010000000100H
b2o$ob2o$2o$bo!

KNOWN TECH STUFF

[...]

A 2c/66 orthogonal in a variant of the rule:

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x = 12, y = 5, rule = R2,C0,S3,20-36,B13,21,33,43,NW0001000000010A0A0100000A000A0000010A0A010000000100H
2bo$2b2o2bo2bo$2obo2b5o$b2o3bo3b2o$2bo7bo!

This variant also supports the small objects and reactions: [...]

Edit: here is a variant with a p216 oscillator and a glider gun

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#C optional birth (6): 6, 15-16, 56, 65-66
#C optional survival (12): 5-6, 16, 26, 46, 55-56, 60, 63-66
#C [[ THEME LifeHistory MAXGRIDSIZE 9 ]]
x = 166, y = 83, rule = R2,C0,S3,20-36,B13,21,26,33,43,NW0001000000010A0A0100000A000A0000010A0A010000000100H
46b2o$45b3o$47bo4$4bo$4b2o$4b2o3bo$9b3o$159bo$11b2o146b2o2$8b3o149bo$
9b2o$10bo7$104b2o$32b2o70bobo$32bobo70b2o$33b2o2$2b2o3bobo$ob2obo$o3b
2o90bo$bo2bo90b3o$2o93b2o$bo94b2o62bo$159b3o$159b2o$160b2o7$44bo59b2o$
44b2o58bobo$44b2o59b2o$48bo$46bo43bo$47bobo39b3o$89b2o$47bo42b2o$46b2o
b2o$46b4o$47b2o$48bo$161bo$161b2o$162bobo$161bo2b2o$164bo$159bo4b2o$
130bo29bo$130b2o2bo2bo22b2o$104b2o22b2obo2b5o22bo$104bobo22b2o3bo3b2o$
105b2o23bo7bo2$90bo$90b2o$91bobo$90bo2b2o$93bo$88bo4b2o$89bo$89b2o$90b
o4$160b2o$160b2o$159bo$159bobo$161b2o!

[confocaloid]

p203 oscillator

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x = 2, y = 11, rule = B2o/S2m34HInvestigator
BC$BC$BC$BC$BC$BC$BC$BC$BC$BC$.C!

I don't know what happens with this one. It evolves for at least 2.5M ticks without settling into something simple

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x = 4, y = 4, rule = B25/S34HInvestigator
O2$3.I$.H!

edit (2024-03-09): I think it settles into a (trivial) p12 oscillator after ~6.8 megaticks

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x = 60, y = 45, rule = B25/S34HInvestigator
2A8$.2A2$26.A$26.O.A$29.A$26.3AI$24.A.AHA.A$26.2A$25.A.A21.A$50.A3$25.
A$25.A11$57.A$57.A$58.2A4$30.A$32.A$21.A$23.A$39.A$38.A$40.A!

[confocaloid]

Rule B2o46/S2o46H

Diagonal c/3 spaceships (p3, p3, p30, p48)

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x = 74, y = 67, rule = B2o46/S2o46H
b4o$ob3obo$8o$2b5o$b8o$2b7o$3b6o$4bobobo$6b2o$bo$b2o$b3o$o2bobo$2bo$2b
obo$2b3o3$o3$bo$b2o2$48b3o$19b2o27b4o$7b3o7bob3o27b3o$8b2o9b3o8bo19b2o
$9bo10b2o7bo20b3o$50b4o$51b3o6b2o$59bobobo$59b6o$59b7o$59b8o$61b5o$51b
o6b2ob7o$59b2o2b3obo$59b3ob4o$48b3o7bo2bo$49b2o6bo$50bo3bo2$56bo$67b2o
$67b3o$61bo5b6o$36b3o17b3o9b6o$39bo17b2o12b3o$37b2obo17bo13b2o$38bobo$
40bo9$47bo4bo$51bobo$48bobobo$47bo2b2o$47b3o$48b2obo$49b2o2bo!

Oscillators (p8, p24, p26, p52, p72)

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x = 100, y = 61, rule = B2o46/S2o46H
40bo$39bo2bo$39b3o$41b3o$40bo2bo$42bo5b2o$48b3o$5o43b4o$49b3o$2b3o$3b
2o$4bo$3bo2bo$3b5o83b6o$4bo2bo84b5o$6bo86b4o$95bo$87bo$87b2o$87b3o6b2o
$87b3o6b3o$87b4o5b4o$23b6o58b3o3b3ob3o$24b5o64b4o$25b4o65b3o$26b3o66b
2o$27b2o$28bo14$59b6o$60b5o$61b4o$62b3o$63b2o$64bo7$52b3o$52b4o11bo$
52b5o9bo$52b6o5bobo$52b7o4bob2o$53b6o7b2obo$54b5o5bobobo$66b2o!

[TYCF]

P426 gun.

Code: Select all

x = 2, y = 10, rule = B2o/S2m34HInvestigator
BC$BC$BC$BC$BC$BC$BC$BC$BC$BC!

[confocaloid]

Rule B2o46/S2o46H

Diagonal c/3 spaceships (p3, p3, p30, p48) [...]

Diagonal c/3 p15 spaceship; there might be other periods in c/3d with more searching

Code: Select all

x = 22, y = 15, rule = B2o46/S2o46H
3o$4o$b3o4$bo2bo8bo$bob3o7bobob2o$3b3o4bo2bobo$4b2o9bo2b2o$4b4o3bo6b3o$2o4b2o
3bobo3bob3o$3o10b2o3bo$b3o3b2o3b3o$2b2o9b2o!

edit: oscillators (p13, p36, p36)

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x = 96, y = 90, rule = B2o46/S2o46H
54b2o13b2o$54b3o12b3o$54b4o11b4o$51b3ob3o12b3ob3o$51b4o19b4o$52b3o20b
3o$53b2o21b2o12$51b3o35b3o$51b4o34b4o$52b3o35b3o$53b2o36b2o2$54b2o36b
2o$54b3o35b3o$54b4o34b4o$55b3o35b3o12$69b2o21b2o$69b3o20b3o$69b4o19b4o
$70b3ob3o12b3ob3o$74b4o11b4o$75b3o12b3o$76b2o13b2o5$28b5o$28b6o$26b11o
$26b12o$26b13o$26b14o$26b15o$27b6o2b6o$28b5o3b5o$28b6o2b6o$28b15o$29b
14o$30b13o$31b12o$32b11o$35b6o$36b5o8$4b3o$4b4o$2o3b3o$3o$3obob3o2b2o$
b2obo6b3o$4bobobobob3o$11bob2o$4bobo3bobo$2b2obo$2b3obobobobo$3b3o6bob
2o$4b2o2b3obob3o$14b3o$9b3o3b2o$9b4o$10b3o!

edit 2: p90 puffer that makes p26 oscillators (yl1170_1_1455_76a35019e13d6cde1c89fc8ee539b7f6/b2o46s2o46h):

Code: Select all

x = 35, y = 35, rule = B2o46/S2o46H
21bo7bo$21bobo5bob3o$23b2o6b3o$21b2o6bo2b2o$21bob3o2bobo$22bo6bobob2o$
30bo$15bo11bo$17bo8bo$20bo9bo$22b3o5bobo$23b2o5bob2o$b2o21bo4bobo$obob
o25b2ob2o$6o19bo$3bo$b6o$4bo21bo2$5bo21bo$3bo4bo3$4b2o3b2o$4b8o$5b7o$
3bo3b4o3bo$8b3o$bo7b2o7bo$obo2bo3b3o3bo2bobo$2ob2o5b2o5b2ob2o$2b3o3bo
5bo3b3o$b3obo12bob3o$2bobobo11bobobo$4b2o14b2o!

edit 3: p45 c/3d spaceship

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x = 34, y = 34, rule = B2o46/S2o46H
bo$o2bo11b3o$4obo9b4o$2b2obobo8b3o$bobob2o10b2o$3bob4o15bo$5bo2bo15bobo$7bo
16bob2o$25bo$26b3o2$12bo2$16bo$15bo2bo$19bo9b3o$16bo12b4o$15bobo2bo9b3o$16bo
2bo11b2o$11bo$11bobo$12bo9bo$13b2o$4b3obo$4b4obo$4b3obobo16b2o$4b4obo16bobobo
$4b7o17b2o$5b6o16b5o$6b5o$28b5o$30b2o$29bobobo$31b2o!

[b-engine]

66c/132:

Code: Select all

x = 4, y = 5, rule = R1,C2,S6-10,B5-8,NW140401014H
obo$3o$2obo$bo$bo!

[confocaloid]

p408 oscillator from b2o4-p56s2p34-o56h/C6 (edit: was previously known in D12)

Code: Select all

x = 19, y = 19, rule = B2o4-p56/S2p34-o56H
2bob4o$b2o2b5o$12o$11o$12obo$15o$2b14o$ob15o$b16o$b17o$2b16o$2b15obo$3b14o$4b
15o$5bob12o$8b11o$7b12o$9b5o2b2o$11b4obo!

p311 oscillator from D6_1o

Code: Select all

x = 23, y = 23, rule = B2o4-p56/S2p34-o56H
3o6b2o$6obo2b3o$6o3b5o$b12o$b13o$b13obo$3b12o$bob13obo$3b16o$ob19o$22o$b22o$b
22o$2bob19o$6b16o$5bob13obo$8b12o$7b13obo$8b13o$9b12o$9b6o3b5o$10b6obo2b3o$
11b3o6b2o!

p94 oscillator from D4_x4

Code: Select all

x = 3, y = 14, rule = B2o4-p56/S2p34-o56H
2o$b2o$2o$3o$3o$3o$b2o$2o$3o$3o$3o$b2o$2o$b2o!

[iddi01]

Four (semi-)stable hexagonal rules with dynamics similar to certain square rules:

Hexagonal Move/Morley:

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x = 100, y = 48, rule = B246/S2p3-o5H
2o3bobobo3b2o2bo2b2obobob2obo2bo4b2ob4o3bo5bob2obob4obobobo3bo3bo3b4ob
obo2b2o3b2o$2b3o6b2o5bobob2o2b3ob9ob2ob3o2bo2b4ob3ob2o5bobob2obo4b3obo
6bobo6bo$obo2bobobob6obo2b2obo2bobob2obo2b4ob5o3b2o2b2o2b5obo5bobobobo
4b3o3b5ob2ob3o$2obo2bob6o5bobob4obo2bo2b2o2b2o4b2obo3bo3bob3o3bob2obob
2o5b2o5bo7b2obob2o$4obobo2bob2o2b2o2b6obo2b3o6bobo3b2o2b4o2b2o2bob2o2b
ob2ob4o4b3o3b4ob2o5bo$5b3obobo2b2o2b3o2b3o4bo2bobo4bob2obob2ob4obob4ob
2o9b4ob4o2b2o5b3obo2bo$b6o2b2obob4ob2obob3o3bob4obo2b2o8b3ob2o3bo2bo2b
7o2b2obobobo5b2obo4bobo$bob2obobobob5ob2o4bo4b3obob2o4b3ob2o4b3o2bo2bo
b2o3bo4bobo10b8ob2obobo$b2o2b2obo2bob2o4b2o2b2o3bob3obo3b2obobo2bob3ob
4ob7o2bob2o3b3obob3o2b3obobo6b3o$6bo2bo3b4ob2obobob6o4bo3bob2ob2ob2obo
3bo2bob2ob3o2b2ob5obobobo2bob2obobob2obo$o3bo4bo4b3obobo2b2o6b2o2b2ob
3o2b7o2b3obo2b2obob2ob3ob5o2bo5bobo2bo2b2obo$ob6o3bobo2b4o2bo6b2obo2bo
bobob4obob2o3b2o2bobob3o2bo2bobobo3b2ob2o2b2obob5ob2o$b2obobobo2bobob
3ob2ob4o2b5o2bob2o3b2o7b4o2bo2bobobo3bo4bo3b5obo3bob3o2bo2bobo$2o2bo3b
obobobob2o2bob2obo2b2ob2obobo2b2ob3ob2o3b2obo2bo2b5ob2obob3obobo5bo3b
3obobo2bo$2ob3obobo2bo2bob3o2b4ob2ob2obo3bo2bob4obobobo5b2obo3b3o2b3o
2bob2o3bo3bob2obo2b3obobo$bobo2bo2bo4b5ob2o2b2ob2obob2obobo2b2ob2ob6o
5bobobob3obob2o2b2o2bob6o5bobo4bo$3b2obobobob2ob3o3bob2ob2o2bob4obo2bo
2b3o2b4ob2o3bo3b3ob2o2bo3b2obo3b2o2bobo3bo2bo4bo$bo2b2o2b3ob2o4b2obob
2obo3b2o4bo6b3o2b7obob5o6b2o6bo3b2o2b3obo2bo3bob2o$2b3ob6o2b2obo2b2obo
3bobo3b2o4bo5b4o4bo2bo2bo3b2ob3o8bo2b4o2bob2o3b2ob3o$3b2ob4o3b2ob2o2b
3obo2b3obo3bobo2bobob2o4bo2b2o2b2ob3o3b2obobob3o9b3o4bo4bobo$2bo3bo4bo
2b6o2b2ob2obo3b3obo3bob4o2b2obo7bob3o2b2o2bob3ob2o2b4ob4o3bob5o$2bo5b
3o2b3o5bobob3ob8o5bo4b3o2bob2o3bo2bob2obo2b3ob2obob2ob2o4bob5o2bobo$o
6b2o4bo5b2ob2ob2o2bo2b2o3bobo3bobobobob2obob3ob2o4b2ob2obo2b3o2b5o2b2o
2b3obobo$b2o2bobo3bo3bobo2b5ob3obob2o2b4obo2bo2bob2o2b5ob2ob7obob2o3bo
8bob3o2b2ob2obo$3ob8o2bobo3bobobob5obo10b2obob3o2b3o3bo3b2o2bobo2b4o6b
obo2bo2bob3o$3b3obo2bob2obo2b4ob2o2bob4obob2o6bob2obob2o2bo5b3o4bo2bob
2ob4obo4b2ob5ob5o$o5b3o2bo3bo2b2o4bo2b4o2bob7o5b3o3b3ob6obobobob2obob
2ob4obobobobo8bo$b3ob2o4b2o3bo6b2ob5obo3bobobob3o2b2o4bo3b2o3b2ob3o2b
4o2bo3b2obo2bobobo2bob2obo$ob3ob2obob3o2b2o2b4o4b2o2b2obobo6b3o2b5o4bo
b3obo2b5o3b5o2bob2o2bo2bo2bo2bobo$obob2o3b2o3b2obo4bo8bobob4o5b2o7bobo
2b2o3b2o2b2obobo2bo2b4o3b2o2bob4obo2bo$b2ob5obob2o2b6obob4o2bob4ob2ob
3o5bobob4ob5ob3o5b2obob3o2b3o6bobo2b2obo$3bo4b4o2bobob3o2b4ob11o2b4ob
2o2b2obobob2o2b5ob3ob2o3bo2bob6o3b5ob4o$3b2o3bo2b3ob5o3b6obob3obobo2b
2obo2b7o2bob2obo4b3obobo2bobo2b2o2b2o3b4o3b4o$2b2o2bobob4o2b3o3b2o6b3o
b4o4bo2bobo3bo2b3o3b5o2bobob3o5b2o2bob2o2b2obobo3b2o$2b2ob4ob2o3b2obo
2b2o6b3o2b8o2b2o2bob5o3bo15bob6ob2ob4o2b2o3bo$o2bo3b4ob3o6b4o2b3o2b2o
2bo3b3o2b3ob2o3bo4bob4o2bob2obo3b5ob3obob5o4b2o$3ob3ob3obobob3ob4ob2ob
2ob3o5b2o2bo2b2ob5o2bobo2bo5b5o2bobo3b4o10bobo$bo2bo6b3obob2o3b2ob4o2b
4obobo3bo2b3ob3obo2b2obob4obob2o2b2o2bo2b2o2b8o2b2ob2obo$3bob2o2bo5b4o
bo3b2obobobo2b6o3b3o3bo2b2o3b4obob2ob2o3b5ob2ob2ob3o3b4obo2bo$bo2b5obo
4b2o2b3ob3obo4bobobob2o2bo2b2o2bo2bo4b2o4bo3b7obobo3bob2ob3ob2o2b2o2b
2o$o3b3o2b3obobob3ob2o6b3obo2b2o3bo4bob2o4b2obob9ob2o3b2o4bob3o3bo3b4o
b2o$b4o2b2obo14b2o3bo2b2obob3o2bob3ob2o4b6obobobo3b2ob3o3bo2b2o2b2ob6o
2bobo$obob2o2b3o2b2ob3ob3o2b2obobobo4b2obob2ob2obob2o2b3o2b3o3b3o4bo2b
o2bo4b2ob2obob3ob2obo$b3o3bo2b3o4bobo5b4o2bo3bob2o3b3o2b2obo2bobo2bo2b
3ob2ob2ob4obobob4ob3o4b2ob3obo$3b2obo3b3ob8obo6b3o3bo2b2obobo3b2o3bo3b
4ob5obob2o2b3obobo3bobob3o2b2o3bo$3obo3bob2o4b3o3bobobo2b2o3b2o2bo4bob
o3bo6b3o2bo2bob5o3bo2b2o7b2ob3obo2bob2o$2o4bo3b2ob4ob3ob2o3b5ob2ob2o2b
5ob6o2b2ob3o7bo3b3o6b2obob8obobobo$bobobob3o5b2o2b3o6bo3bo2b2ob2obobo
2b4o2bo2b2o4bo2bob3o3b4o2b2o2b3o2bo2bob2obobobo!

Hexagonal Day & Night:

Code: Select all

x = 100, y = 48, rule = B2o456/S34-o56H
2o3bobobo3b2o2bo2b2obobob2obo2bo4b2ob4o3bo5bob2obob4obobobo3bo3bo3b4ob
obo2b2o3b2o$2b3o6b2o5bobob2o2b3ob9ob2ob3o2bo2b4ob3ob2o5bobob2obo4b3obo
6bobo6bo$obo2bobobob6obo2b2obo2bobob2obo2b4ob5o3b2o2b2o2b5obo5bobobobo
4b3o3b5ob2ob3o$2obo2bob6o5bobob4obo2bo2b2o2b2o4b2obo3bo3bob3o3bob2obob
2o5b2o5bo7b2obob2o$4obobo2bob2o2b2o2b6obo2b3o6bobo3b2o2b4o2b2o2bob2o2b
ob2ob4o4b3o3b4ob2o5bo$5b3obobo2b2o2b3o2b3o4bo2bobo4bob2obob2ob4obob4ob
2o9b4ob4o2b2o5b3obo2bo$b6o2b2obob4ob2obob3o3bob4obo2b2o8b3ob2o3bo2bo2b
7o2b2obobobo5b2obo4bobo$bob2obobobob5ob2o4bo4b3obob2o4b3ob2o4b3o2bo2bo
b2o3bo4bobo10b8ob2obobo$b2o2b2obo2bob2o4b2o2b2o3bob3obo3b2obobo2bob3ob
4ob7o2bob2o3b3obob3o2b3obobo6b3o$6bo2bo3b4ob2obobob6o4bo3bob2ob2ob2obo
3bo2bob2ob3o2b2ob5obobobo2bob2obobob2obo$o3bo4bo4b3obobo2b2o6b2o2b2ob
3o2b7o2b3obo2b2obob2ob3ob5o2bo5bobo2bo2b2obo$ob6o3bobo2b4o2bo6b2obo2bo
bobob4obob2o3b2o2bobob3o2bo2bobobo3b2ob2o2b2obob5ob2o$b2obobobo2bobob
3ob2ob4o2b5o2bob2o3b2o7b4o2bo2bobobo3bo4bo3b5obo3bob3o2bo2bobo$2o2bo3b
obobobob2o2bob2obo2b2ob2obobo2b2ob3ob2o3b2obo2bo2b5ob2obob3obobo5bo3b
3obobo2bo$2ob3obobo2bo2bob3o2b4ob2ob2obo3bo2bob4obobobo5b2obo3b3o2b3o
2bob2o3bo3bob2obo2b3obobo$bobo2bo2bo4b5ob2o2b2ob2obob2obobo2b2ob2ob6o
5bobobob3obob2o2b2o2bob6o5bobo4bo$3b2obobobob2ob3o3bob2ob2o2bob4obo2bo
2b3o2b4ob2o3bo3b3ob2o2bo3b2obo3b2o2bobo3bo2bo4bo$bo2b2o2b3ob2o4b2obob
2obo3b2o4bo6b3o2b7obob5o6b2o6bo3b2o2b3obo2bo3bob2o$2b3ob6o2b2obo2b2obo
3bobo3b2o4bo5b4o4bo2bo2bo3b2ob3o8bo2b4o2bob2o3b2ob3o$3b2ob4o3b2ob2o2b
3obo2b3obo3bobo2bobob2o4bo2b2o2b2ob3o3b2obobob3o9b3o4bo4bobo$2bo3bo4bo
2b6o2b2ob2obo3b3obo3bob4o2b2obo7bob3o2b2o2bob3ob2o2b4ob4o3bob5o$2bo5b
3o2b3o5bobob3ob8o5bo4b3o2bob2o3bo2bob2obo2b3ob2obob2ob2o4bob5o2bobo$o
6b2o4bo5b2ob2ob2o2bo2b2o3bobo3bobobobob2obob3ob2o4b2ob2obo2b3o2b5o2b2o
2b3obobo$b2o2bobo3bo3bobo2b5ob3obob2o2b4obo2bo2bob2o2b5ob2ob7obob2o3bo
8bob3o2b2ob2obo$3ob8o2bobo3bobobob5obo10b2obob3o2b3o3bo3b2o2bobo2b4o6b
obo2bo2bob3o$3b3obo2bob2obo2b4ob2o2bob4obob2o6bob2obob2o2bo5b3o4bo2bob
2ob4obo4b2ob5ob5o$o5b3o2bo3bo2b2o4bo2b4o2bob7o5b3o3b3ob6obobobob2obob
2ob4obobobobo8bo$b3ob2o4b2o3bo6b2ob5obo3bobobob3o2b2o4bo3b2o3b2ob3o2b
4o2bo3b2obo2bobobo2bob2obo$ob3ob2obob3o2b2o2b4o4b2o2b2obobo6b3o2b5o4bo
b3obo2b5o3b5o2bob2o2bo2bo2bo2bobo$obob2o3b2o3b2obo4bo8bobob4o5b2o7bobo
2b2o3b2o2b2obobo2bo2b4o3b2o2bob4obo2bo$b2ob5obob2o2b6obob4o2bob4ob2ob
3o5bobob4ob5ob3o5b2obob3o2b3o6bobo2b2obo$3bo4b4o2bobob3o2b4ob11o2b4ob
2o2b2obobob2o2b5ob3ob2o3bo2bob6o3b5ob4o$3b2o3bo2b3ob5o3b6obob3obobo2b
2obo2b7o2bob2obo4b3obobo2bobo2b2o2b2o3b4o3b4o$2b2o2bobob4o2b3o3b2o6b3o
b4o4bo2bobo3bo2b3o3b5o2bobob3o5b2o2bob2o2b2obobo3b2o$2b2ob4ob2o3b2obo
2b2o6b3o2b8o2b2o2bob5o3bo15bob6ob2ob4o2b2o3bo$o2bo3b4ob3o6b4o2b3o2b2o
2bo3b3o2b3ob2o3bo4bob4o2bob2obo3b5ob3obob5o4b2o$3ob3ob3obobob3ob4ob2ob
2ob3o5b2o2bo2b2ob5o2bobo2bo5b5o2bobo3b4o10bobo$bo2bo6b3obob2o3b2ob4o2b
4obobo3bo2b3ob3obo2b2obob4obob2o2b2o2bo2b2o2b8o2b2ob2obo$3bob2o2bo5b4o
bo3b2obobobo2b6o3b3o3bo2b2o3b4obob2ob2o3b5ob2ob2ob3o3b4obo2bo$bo2b5obo
4b2o2b3ob3obo4bobobob2o2bo2b2o2bo2bo4b2o4bo3b7obobo3bob2ob3ob2o2b2o2b
2o$o3b3o2b3obobob3ob2o6b3obo2b2o3bo4bob2o4b2obob9ob2o3b2o4bob3o3bo3b4o
b2o$b4o2b2obo14b2o3bo2b2obob3o2bob3ob2o4b6obobobo3b2ob3o3bo2b2o2b2ob6o
2bobo$obob2o2b3o2b2ob3ob3o2b2obobobo4b2obob2ob2obob2o2b3o2b3o3b3o4bo2b
o2bo4b2ob2obob3ob2obo$b3o3bo2b3o4bobo5b4o2bo3bob2o3b3o2b2obo2bobo2bo2b
3ob2ob2ob4obobob4ob3o4b2ob3obo$3b2obo3b3ob8obo6b3o3bo2b2obobo3b2o3bo3b
4ob5obob2o2b3obobo3bobob3o2b2o3bo$3obo3bob2o4b3o3bobobo2b2o3b2o2bo4bob
o3bo6b3o2bo2bob5o3bo2b2o7b2ob3obo2bob2o$2o4bo3b2ob4ob3ob2o3b5ob2ob2o2b
5ob6o2b2ob3o7bo3b3o6b2obob8obobobo$bobobob3o5b2o2b3o6bo3bo2b2ob2obobo
2b4o2bo2b2o4bo2bob3o3b4o2b2o2b3o2bo2bob2obobobo!

Hexagonal Geology:

Code: Select all

x = 52, y = 48, rule = B2-m4-m56/S2m34m56H
5bob2obob4obobobo3bo3bo3b4obobo2b2o3b2o$2b4ob3ob2o5bobob2obo4b3obo6bob
o6bo$b2o2b2o2b5obo5bobobobo4b3o3b5ob2ob3o$2bo3bob3o3bob2obob2o5b2o5bo
7b2obob2o$4o2b2o2bob2o2bob2ob4o4b3o3b4ob2o5bo$b4obob4ob2o9b4ob4o2b2o5b
3obo2bo$b3ob2o3bo2bo2b7o2b2obobobo5b2obo4bobo$2b3o2bo2bob2o3bo4bobo10b
8ob2obobo$2ob4ob7o2bob2o3b3obob3o2b3obobo6b3o$bo3bo2bob2ob3o2b2ob5obob
obo2bob2obobob2obo$o2b3obo2b2obob2ob3ob5o2bo5bobo2bo2b2obo$o3b2o2bobob
3o2bo2bobobo3b2ob2o2b2obob5ob2o$2b4o2bo2bobobo3bo4bo3b5obo3bob3o2bo2bo
bo$2b2obo2bo2b5ob2obob3obobo5bo3b3obobo2bo$obo5b2obo3b3o2b3o2bob2o3bo
3bob2obo2b3obobo$3o5bobobob3obob2o2b2o2bob6o5bobo4bo$3ob2o3bo3b3ob2o2b
o3b2obo3b2o2bobo3bo2bo4bo$6obob5o6b2o6bo3b2o2b3obo2bo3bob2o$4bo2bo2bo
3b2ob3o8bo2b4o2bob2o3b2ob3o$bo2b2o2b2ob3o3b2obobob3o9b3o4bo4bobo$obo7b
ob3o2b2o2bob3ob2o2b4ob4o3bob5o$o2bob2o3bo2bob2obo2b3ob2obob2ob2o4bob5o
2bobo$ob2obob3ob2o4b2ob2obo2b3o2b5o2b2o2b3obobo$2o2b5ob2ob7obob2o3bo8b
ob3o2b2ob2obo$2o2b3o3bo3b2o2bobo2b4o6bobo2bo2bob3o$ob2o2bo5b3o4bo2bob
2ob4obo4b2ob5ob5o$o3b3ob6obobobob2obob2ob4obobobobo8bo$4bo3b2o3b2ob3o
2b4o2bo3b2obo2bobobo2bob2obo$5o4bob3obo2b5o3b5o2bob2o2bo2bo2bo2bobo$4b
obo2b2o3b2o2b2obobo2bo2b4o3b2o2bob4obo2bo$obob4ob5ob3o5b2obob3o2b3o6bo
bo2b2obo$b2obobob2o2b5ob3ob2o3bo2bob6o3b5ob4o$5o2bob2obo4b3obobo2bobo
2b2o2b2o3b4o3b4o$2bo2b3o3b5o2bobob3o5b2o2bob2o2b2obobo3b2o$b5o3bo15bob
6ob2ob4o2b2o3bo$2o3bo4bob4o2bob2obo3b5ob3obob5o4b2o$5o2bobo2bo5b5o2bob
o3b4o10bobo$3obo2b2obob4obob2o2b2o2bo2b2o2b8o2b2ob2obo$o2b2o3b4obob2ob
2o3b5ob2ob2ob3o3b4obo2bo$o2bo4b2o4bo3b7obobo3bob2ob3ob2o2b2o2b2o$o4b2o
bob9ob2o3b2o4bob3o3bo3b4ob2o$2o4b6obobobo3b2ob3o3bo2b2o2b2ob6o2bobo$b
2o2b3o2b3o3b3o4bo2bo2bo4b2ob2obob3ob2obo$bo2bobo2bo2b3ob2ob2ob4obobob
4ob3o4b2ob3obo$o3bo3b4ob5obob2o2b3obobo3bobob3o2b2o3bo$o6b3o2bo2bob5o
3bo2b2o7b2ob3obo2bob2o$3o2b2ob3o7bo3b3o6b2obob8obobobo$o2bo2b2o4bo2bob
3o3b4o2b2o2b3o2bo2bob2obobobo!

Hexagonal SlowLifeB0:

Code: Select all

x = 100, y = 48, rule = B01234m/S4oH
2o3bobobo3b2o2bo2b2obobob2obo2bo4b2ob4o3bo5bob2obob4obobobo3bo3bo3b4ob
obo2b2o3b2o$2b3o6b2o5bobob2o2b3ob9ob2ob3o2bo2b4ob3ob2o5bobob2obo4b3obo
6bobo6bo$obo2bobobob6obo2b2obo2bobob2obo2b4ob5o3b2o2b2o2b5obo5bobobobo
4b3o3b5ob2ob3o$2obo2bob6o5bobob4obo2bo2b2o2b2o4b2obo3bo3bob3o3bob2obob
2o5b2o5bo7b2obob2o$4obobo2bob2o2b2o2b6obo2b3o6bobo3b2o2b4o2b2o2bob2o2b
ob2ob4o4b3o3b4ob2o5bo$5b3obobo2b2o2b3o2b3o4bo2bobo4bob2obob2ob4obob4ob
2o9b4ob4o2b2o5b3obo2bo$b6o2b2obob4ob2obob3o3bob4obo2b2o8b3ob2o3bo2bo2b
7o2b2obobobo5b2obo4bobo$bob2obobobob5ob2o4bo4b3obob2o4b3ob2o4b3o2bo2bo
b2o3bo4bobo10b8ob2obobo$b2o2b2obo2bob2o4b2o2b2o3bob3obo3b2obobo2bob3ob
4ob7o2bob2o3b3obob3o2b3obobo6b3o$6bo2bo3b4ob2obobob6o4bo3bob2ob2ob2obo
3bo2bob2ob3o2b2ob5obobobo2bob2obobob2obo$o3bo4bo4b3obobo2b2o6b2o2b2ob
3o2b7o2b3obo2b2obob2ob3ob5o2bo5bobo2bo2b2obo$ob6o3bobo2b4o2bo6b2obo2bo
bobob4obob2o3b2o2bobob3o2bo2bobobo3b2ob2o2b2obob5ob2o$b2obobobo2bobob
3ob2ob4o2b5o2bob2o3b2o7b4o2bo2bobobo3bo4bo3b5obo3bob3o2bo2bobo$2o2bo3b
obobobob2o2bob2obo2b2ob2obobo2b2ob3ob2o3b2obo2bo2b5ob2obob3obobo5bo3b
3obobo2bo$2ob3obobo2bo2bob3o2b4ob2ob2obo3bo2bob4obobobo5b2obo3b3o2b3o
2bob2o3bo3bob2obo2b3obobo$bobo2bo2bo4b5ob2o2b2ob2obob2obobo2b2ob2ob6o
5bobobob3obob2o2b2o2bob6o5bobo4bo$3b2obobobob2ob3o3bob2ob2o2bob4obo2bo
2b3o2b4ob2o3bo3b3ob2o2bo3b2obo3b2o2bobo3bo2bo4bo$bo2b2o2b3ob2o4b2obob
2obo3b2o4bo6b3o2b7obob5o6b2o6bo3b2o2b3obo2bo3bob2o$2b3ob6o2b2obo2b2obo
3bobo3b2o4bo5b4o4bo2bo2bo3b2ob3o8bo2b4o2bob2o3b2ob3o$3b2ob4o3b2ob2o2b
3obo2b3obo3bobo2bobob2o4bo2b2o2b2ob3o3b2obobob3o9b3o4bo4bobo$2bo3bo4bo
2b6o2b2ob2obo3b3obo3bob4o2b2obo7bob3o2b2o2bob3ob2o2b4ob4o3bob5o$2bo5b
3o2b3o5bobob3ob8o5bo4b3o2bob2o3bo2bob2obo2b3ob2obob2ob2o4bob5o2bobo$o
6b2o4bo5b2ob2ob2o2bo2b2o3bobo3bobobobob2obob3ob2o4b2ob2obo2b3o2b5o2b2o
2b3obobo$b2o2bobo3bo3bobo2b5ob3obob2o2b4obo2bo2bob2o2b5ob2ob7obob2o3bo
8bob3o2b2ob2obo$3ob8o2bobo3bobobob5obo10b2obob3o2b3o3bo3b2o2bobo2b4o6b
obo2bo2bob3o$3b3obo2bob2obo2b4ob2o2bob4obob2o6bob2obob2o2bo5b3o4bo2bob
2ob4obo4b2ob5ob5o$o5b3o2bo3bo2b2o4bo2b4o2bob7o5b3o3b3ob6obobobob2obob
2ob4obobobobo8bo$b3ob2o4b2o3bo6b2ob5obo3bobobob3o2b2o4bo3b2o3b2ob3o2b
4o2bo3b2obo2bobobo2bob2obo$ob3ob2obob3o2b2o2b4o4b2o2b2obobo6b3o2b5o4bo
b3obo2b5o3b5o2bob2o2bo2bo2bo2bobo$obob2o3b2o3b2obo4bo8bobob4o5b2o7bobo
2b2o3b2o2b2obobo2bo2b4o3b2o2bob4obo2bo$b2ob5obob2o2b6obob4o2bob4ob2ob
3o5bobob4ob5ob3o5b2obob3o2b3o6bobo2b2obo$3bo4b4o2bobob3o2b4ob11o2b4ob
2o2b2obobob2o2b5ob3ob2o3bo2bob6o3b5ob4o$3b2o3bo2b3ob5o3b6obob3obobo2b
2obo2b7o2bob2obo4b3obobo2bobo2b2o2b2o3b4o3b4o$2b2o2bobob4o2b3o3b2o6b3o
b4o4bo2bobo3bo2b3o3b5o2bobob3o5b2o2bob2o2b2obobo3b2o$2b2ob4ob2o3b2obo
2b2o6b3o2b8o2b2o2bob5o3bo15bob6ob2ob4o2b2o3bo$o2bo3b4ob3o6b4o2b3o2b2o
2bo3b3o2b3ob2o3bo4bob4o2bob2obo3b5ob3obob5o4b2o$3ob3ob3obobob3ob4ob2ob
2ob3o5b2o2bo2b2ob5o2bobo2bo5b5o2bobo3b4o10bobo$bo2bo6b3obob2o3b2ob4o2b
4obobo3bo2b3ob3obo2b2obob4obob2o2b2o2bo2b2o2b8o2b2ob2obo$3bob2o2bo5b4o
bo3b2obobobo2b6o3b3o3bo2b2o3b4obob2ob2o3b5ob2ob2ob3o3b4obo2bo$bo2b5obo
4b2o2b3ob3obo4bobobob2o2bo2b2o2bo2bo4b2o4bo3b7obobo3bob2ob3ob2o2b2o2b
2o$o3b3o2b3obobob3ob2o6b3obo2b2o3bo4bob2o4b2obob9ob2o3b2o4bob3o3bo3b4o
b2o$b4o2b2obo14b2o3bo2b2obob3o2bob3ob2o4b6obobobo3b2ob3o3bo2b2o2b2ob6o
2bobo$obob2o2b3o2b2ob3ob3o2b2obobobo4b2obob2ob2obob2o2b3o2b3o3b3o4bo2b
o2bo4b2ob2obob3ob2obo$b3o3bo2b3o4bobo5b4o2bo3bob2o3b3o2b2obo2bobo2bo2b
3ob2ob2ob4obobob4ob3o4b2ob3obo$3b2obo3b3ob8obo6b3o3bo2b2obobo3b2o3bo3b
4ob5obob2o2b3obobo3bobob3o2b2o3bo$3obo3bob2o4b3o3bobobo2b2o3b2o2bo4bob
o3bo6b3o2bo2bob5o3bo2b2o7b2ob3obo2bob2o$2o4bo3b2ob4ob3ob2o3b5ob2ob2o2b
5ob6o2b2ob3o7bo3b3o6b2obob8obobobo$bobobob3o5b2o2b3o6bo3bo2b2ob2obobo
2b4o2bo2b2o4bo2bob3o3b4o2b2o2b3o2bo2bob2obobobo!

Interestingly, the objects in those rules bears no resemblance to those in their square counterparts.

[confocaloid]

Code: Select all

#C Oscillators (p784, p504, p348, p22, p16, p8, p4)
x = 175, y = 65, rule = B2-o3456/S012346H
obo17b3o17bob3o15b3ob3o13b3obobo2b3o18b3ob3obobo3b49o$obo17bobo17bobo
19bo3bo15bobobo2bobo18bo3bobobobo3b14ob3ob3ob3ob23o$3o17b3o17bob3o15b
3ob3o13b3ob3o2b3o18b3obobob3o3b50o$2bo17bobo17bobobo15bo3bo17bo3bo2bob
o20bobobo3bo4b15obob5obob23o$2bo17b3o17bob3o15b3ob3o13b3o3bo2b3o18b3ob
3o3bo5b48o6$9o11b9o11b9o11b9o11b9o$10o10b10o10b3o2b5o10b10o10b3ob6o$3o
b7o9b11o9b3obob5o9b11o9b11o$12o8b12o8b4o2bo2b3o8b10obo8b5ob3ob2o$obob
7obo7bob9obo7b7obob3o7b13o7b13o$14o6b14o6b8o2b4o6b10ob3o6bob7ob4o$11ob
3o5b15o5b15o5b15o5b15o$16o4b16o4b16o4b12obobo4b3ob12o$17o3b17o3b17o3b
17o3b17o$b16o4b16o4b16o4b16o4b2ob11obo$2b11ob3o5b15o5b15o5b15o5b15o13b
3ob3obobo3b50o$3b14o6b14o6b14o6b14o6b14o15bobobobobo3b8ob3ob23ob3ob10o
$4bobob7obo7bob9obo7b13o7b13o7b13o15bob3ob3o3b9ob3ob23ob3ob9o$5b12o8b
12o8b12o8b5obob4o8b10obo15bobobo3bo3b10ob3ob23ob3ob8o$6b3ob7o9b11o9b
11o9b11o9b11o15bob3o3bo4b50o$7b10o10b10o10b10o10b3ob3ob2o10b2ob3ob3o$
8b9o11b9o11b9o11b9o11b9o4$9o31b9o$5ob4o30b10o$11o29b11o$7obob2o28b12o$
13o27b10o2bo$ob12o26b10obobo$15o25b11o2b2o$3ob12o24b16o$17o23b17o$b2ob
13o24b16o$2b15o25b11o2b2o$3b10obobo26b10obobo$4b13o27b10o2bo$5b6ob5o
28b12o$6b11o29b11o$7b4ob5o30b10o$8b9o31b9o4$40b8o$40b9o$40b10o$40b11o$
40b8o2b2o$40b8obob2o$40b9o2b3o$40b15o$41b9o2b3o$42b8obob2o$43b8o2b2o$
44b11o$45b10o$46b9o$47b8o!
#C [[ THEME Caterer GRID ]]

Code: Select all

#C Is this a high-period oscillator predecessor, or just a methuselah
#C that eventually settles into low period?
#C Left: T = 0; right: T = 4000000000
x = 37, y = 17, rule = B2-o3456/S012346H
9o11b9o$10o10b7ob2o$11o9b7o3bo$12o8b12o$4o3b4o9b8ob4o$5o2b3o3bo6b5ob8o
$4o3bobob4o5b5ob2obobob2o$5o2bo5b3o4b9ob3o2bo$9o2b6o3b3ob13o$b4o3b2o3b
4o4b2o2b12o$2b2o3bob2ob5o5b15o$3bob2obo2b6o6b5o2b2ob4o$4b4o4b5o7b4ob8o
$5b12o8bob7ob2o$6b11o9bo2b2obobobo$7b10o10b4ob2ob2o$8b9o11b9o!
#C [[ THEME Caterer GRID ]]

[confocaloid]

Here is a way to run Gosper's glider gun in a two-state isotropic hexagonal cellular automaton with range-6 neighbourhood:

Code: Select all

#C [[ MAXGRIDSIZE 10 THEME Caterer ]]
x = 465, y = 465, rule = R6,C0,S2-3,20,30,200,300,B3,30,300,NW00000101010000000000000000000000000000000000000000000A0000000000000064000000000A0000000000000000640000000A0000000000000000006400000000000000640A000000000000000000000001000100000000000000000000000A6400000000000000640000000000000000000A0000006400000000000000000A0000000064000000000000000A0000000000000000000000000000000000000000000101010000H
114b2o6$117b2o60$145b2o3b2o12$152bo3bo6$156b3o6$159b3o18$171bo5$345bo$
173b3o170bo2$342bo$o342bo$o2$6bo168bo3bo$6bo5$180bo6$180bo5bo6$183bo5b
o6$187bo3bo118bo$311bo2$66bo$66bo$315bo$191b3o122bo$305bo$66bo$66bo$
78bo$303bo5bo$304bo$305bo$78bo5bo215bo$84bo216bo$84bo217bo$90bo$90bo$
90bo6$108bo$294bo$114bo$114bo175bo$114bo5bo170bo$286bo5bo3$120bo$126bo
5bo157bo$279bo5bo2$138bo$276bo2$132bo$144bo140bo$274bo$138bo$282bo$
144bo5bo$150bo121bo5bo$150bo122bo$274bo12$218b2o6$221b2o7$204bo40bo$
204bo41bo2$210bo31bo$210bo32bo21$220bo33bo$221bo32bo2$217bo42bo$218bo
41bo8$243b2o6$246b2o11$189bo$190bo123bo$185bo5bo122bo$314bo5bo$181bo$
326bo$189bo$178bo141bo$332bo2$187bo$326bo2$178bo5bo$173bo158bo5bo$344b
o3$171bo5bo$172bo171bo5bo$173bo176bo$350bo$169bo$356bo6$374bo$374bo$
374bo$161bo218bo$162bo217bo$163bo216bo5bo$158bo$159bo$154bo5bo$386bo$
398bo$398bo$158bo$147bo$148bo123b3o$398bo$398bo2$152bo$153bo$274bo3bo
6$276bo5bo6$279bo5bo6$285bo4$458bo$458bo$286bo3bo$464bo$120bo343bo$
121bo2$117bo$118bo171b3o6$294bo18$304b3o6$307b3o6$309bo3bo12$314b2o3b
2o60$347b2o6$350b2o!

The period-256 machine gun works as well:

Code: Select all

x = 169, y = 149, rule = R6,C0,S2-3,20,30,200,300,B3,30,300,NW00000101010000000000000000000000000000000000000000000A0000000000000064000000000A0000000000000000640000000A0000000000000000006400000000000000640A000000000000000000000001000100000000000000000000000A6400000000000000640000000000000000000A0000006400000000000000000A0000000064000000000000000A0000000000000000000000000000000000000000000101010000H
124bo$125bo2$121bo$122bo2$106bo$107bo2$103bo59bo$104bo59bo2$160bo$161b
o3$104bo$105bo2$101bo65bo$102bo65bo2$164bo$165bo3$84bo$85bo2$81bo71bo$
82bo71bo2$150bo$151bo8$153bo$154bo2$150bo$151bo18$73bo$74bo$75bo2$71bo
$66bo$67bo$68bo15$95bo$96bo3$93bo$94bo$89bo11$34bo$17bo17bo$18bo2$14bo
$15bo8$17bo$18bo2$14bo71bo$15bo71bo2$83bo$84bo3$3bo$4bo2$o65bo$bo65bo
2$63bo$64bo3$7bo$8bo2$4bo59bo$5bo59bo2$61bo$62bo2$46bo$47bo2$43bo$44bo!
#C [[ MAXGRIDSIZE 9 THEME Caterer ]]

Code: Select all

x = 289, y = 169, rule = R6,C0,S2-3,20,30,200,300,B3,30,300,NW00000101010000000000000000000000000000000000000000000A0000000000000064000000000A0000000000000000640000000A0000000000000000006400000000000000640A000000000000000000000001000100000000000000000000000A6400000000000000640000000000000000000A0000006400000000000000000A0000000064000000000000000A0000000000000000000000000000000000000000000101010000H
6bo$6bo2$12bo$o11bo$o2$6bo$6bo6$30bo11bo$30bo11bo2$36bo11bo$36bo11bo
16$66bo$66bo8$30bo$30bo2$36bo$36bo14$54bo$54bo$66bo$60bo5bo$60bo$72bo
59bo$72bo59bo$132bo3$138bo2$144bo$144bo$144bo6$186bo$186bo$96bo$96bo
95bo$192bo$102bo$102bo2$132bo4$138bo$138bo$144bo$144bo5$216bo$216bo$
228bo$222bo5bo$222bo$234bo$234bo14$252bo$252bo2$258bo$258bo25$240bo11b
o$240bo11bo2$246bo11bo$246bo11bo6$282bo$282bo2$288bo$276bo11bo$276bo2$
282bo$282bo!
#C [[ MAXGRIDSIZE 9 THEME Caterer ]]

Code: Select all

x = 149, y = 289, rule = R6,C0,S2-3,20,30,200,300,B3,30,300,NW00000101010000000000000000000000000000000000000000000A0000000000000064000000000A0000000000000000640000000A0000000000000000006400000000000000640A000000000000000000000001000100000000000000000000000A6400000000000000640000000000000000000A0000006400000000000000000A0000000064000000000000000A0000000000000000000000000000000000000000000101010000H
9b2o6$12b2o5b2o6$22b2o18$2o27b2o6$3b2o27b2o6$41b2o6$44b2o6$6b2o6$9b2o
6$16b2o27b2o6$19b2o24$26b2o6$29b2o30$57bo20b3o6$58b2o21bo6$62b2o19b3o
42$118b2o6$121b2o24$128b2o6$131b2o6$138b2o6$141b2o6$103b2o6$106b2o6$
115b2o27b2o6$118b2o27b2o18$125b2o6$128b2o5b2o6$138b2o!
#C [[ MAXGRIDSIZE 9 THEME Caterer ]]

The neighbourhood includes 24 cells, partitioned into three disjoint 8-cell sets. One 8-cell set is weighted 1, another 8-cell set is weighted 10, and third set is weighted 100.

Code: Select all

x = 13, y = 13, rule = R6,C0,S,B,NW00000101010000000000000000000000000000000000000000000A0000000000000064000000000A0000000000000000640000000A0000000000000000006400000000000000640A000000000000000000000001000100000000000000000000000A6400000000000000640000000000000000000A0000006400000000000000000A0000000064000000000000000A0000000000000000000000000000000000000000000101010000H
2b3o2$o7bo$o8bo$o9bo$5b2o$5bobo$6b2o$2bo9bo$3bo8bo$4bo7bo2$8b3o!
#C [[ THEME Caterer GRID ]]

Is it possible to embed the same Life patterns in the same fashion into a two-state isotropic hexagonal CA with a lower-range weighted neighbourhood?